The height of the cylinder, h = 9.5 cm
The diameter is 1.5 cm longer than the height
d = h + 1.5
d = 9.5 + 1.5
d = 11 cm
The radius = diameter / 2
r = d/2
r = 11/2 cm
The volume of a cylinder is given by the formula:
[tex]V\text{ = }\pi r^2h[/tex][tex]\begin{gathered} V\text{ = }\frac{22}{7}\times(\frac{11}{2})^2\times9.5 \\ V\text{ = }\frac{22}{7}\times\frac{121}{4}\times9.5 \\ V\text{ = }903cm^3 \end{gathered}[/tex]